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120000212200 = 235211235123201
BaseRepresentation
bin110111111000010010…
…0011110110011101000
3102110202000120101120201
41233300210132303220
53431230023242300
6131043301001544
711445500655031
oct1576044366350
9373660511521
10120000212200
1146989a9a5a0
121b30b9b32b4
13b41525cb2b
145b4539da88
1531c4ee866a
hex1bf091ece8

120000212200 has 96 divisors (see below), whose sum is σ = 304506760320. Its totient is φ = 43616000000.

The previous prime is 120000212183. The next prime is 120000212231. The reversal of 120000212200 is 2212000021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160600 + ... + 5183800.

It is an arithmetic number, because the mean of its divisors is an integer number (3171945420).

Almost surely, 2120000212200 is an apocalyptic number.

120000212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152253380160).

120000212200 is an abundant number, since it is smaller than the sum of its proper divisors (184506548120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120000212200 is a wasteful number, since it uses less digits than its factorization.

120000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25579 (or 25570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120000212200 its reverse (2212000021), we get a palindrome (122212212221).

The spelling of 120000212200 in words is "one hundred twenty billion, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2351 4702 9404 11755 18808 23201 23510 25861 46402 47020 51722 58775 92804 94040 103444 116005 117550 129305 185608 206888 232010 235100 255211 258610 464020 470200 510422 517220 580025 646525 928040 1020844 1034440 1160050 1276055 1293050 2041688 2320100 2552110 2586100 4640200 5104220 5172200 6380275 10208440 12760550 25521100 51042200 54545551 109091102 218182204 272727755 436364408 545455510 600001061 1090911020 1200002122 1363638775 2181822040 2400004244 2727277550 3000005305 4800008488 5454555100 6000010610 10909110200 12000021220 15000026525 24000042440 30000053050 60000106100 120000212200